The higher order differential operators in direct sum spaces
نویسندگان
چکیده
منابع مشابه
Spectral Operators in a Direct Sum of Hilbert Spaces.
Let E C X be the finite-dimensional subspace spanned by xi, ..., xm. Now, for y E Y and variable x e E, y(x) is a continuous linear functional on E which we denote by y'. Thus, there is defined in a natural way a function f'(x) with domain (E n B) and range in E*, the conjugate space of E. The domain contains and surrounds densely every point of E n K(D), hence every point of K(E n D). It is ea...
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Let L be a divergence form inhomogeneous higher order elliptic operator with complex bounded measurable coefficients. In this article, for all p ∈ (0, ∞) and L satisfying a weak ellipticity condition, the authors introduce the local Hardy spaces hpL(R ) associated with L, which coincide with Goldberg’s local Hardy spaces h(R) for all p ∈ (0, ∞) when L ≡ −∆ (the Laplace operator). The authors al...
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We study the connection between spectral properties of direct the sum of operators in the direct sum of Hilbert spaces and its coordinate operators.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1990
ISSN: 0022-0396
DOI: 10.1016/0022-0396(90)90079-5